FIITJEE PET II (REG_2 ND YEAR)

Size: px

Start display at page:

Download "FIITJEE PET II (REG_2 ND YEAR)"

Blake Poole
5 years ago
Views:

1 FIITJEE PET II (REG_ ND YEAR) MAINS DATE: Time: hours Maximum Marks: 60 INSTRUCTIONS: 1. This Test Booklet consists of 90 questions. Instructions to the Candidates Use Blue/Black ball Point Pen only for writing particulars and bubbling of OMR.. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted.. Attempt all questions. 4. In case you have not darkened any bubble you will be awarded 0 mark for that question. 5. Use of calculator/logarithmic table is not permitted. Don t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam. NAME: ENROLLMENT NO.:

2 1. The coefficient of x 70 in the product (x 1) (x ) (x )(x 4 4)... (x 1 1) is (D) 1. The coefficient of x 50 in (x 101 C 0 ) (x 101 C 1 )... (x 101 C 50 ) is (D) 101. The remainder, if is divided by 5 is 0 1 (D) 4. If is divided by 49, then the remainder is (D) 0 n n 5. Let f(n) = k Ck k1, then the value of f(5) is equal to (D) If a b 7 5, number of pairs (a, b) for which the equation is true is [(a, b) are rational numbers)] (D) infinite 7. The value of n1 r 6n r 1 Cr1 is r0 n n 1 6n 1 (D) 0 8. The value of 1 1 n 1 n r1 r1 r r 1. n C r is 1 n 1 n 1 (D) 0 9. The value of equals n where r n 00 (D) 50 Cr 10. Let 5 6 n = p f where n N and p N and 0 < f < 1, then the value of f f pf p is a natural number a prime number a negative integer (D) an irrational number 11. For r n, n 1 r 1 n n n = r r 1 r n 1 r 1 n r (D) n r 1. The coefficient of x 5 in (1 x x...) / is (D) none of these m 10 0 p 1. The sum, where = 0 if p < q is maximum when m is i0 i m i q (D) The last two digits of the number 400 are (D) Ck = k C C 10 (D) none of these

3 n In the expansion of x 1 x, n N, which is not true number of terms is n 1 coefficient of constant term is n 1 coefficient of x n is n (D) none of these 17. The sum of series 0 C 0 0 C 1 0 C 0 C... 0 C 10 is 1 0 C C 10 (D) 0 C The term independent of x in the expansion of 10 C x x 1 10 is (D) none of these a 19. If the sum of middle terms is S in the expansion of a, then the value(s) of S is/are a (8 a) 6 1 a (8 a) 6 14 a (8 a) (D) a (8 a) 0. The positive value of a so that the coefficients of x 5 and x 15 are equal in the expansion of (D) x a x The coefficient of x m in (1 x) p (1 x) p 1... (1 x) n, p m n is n 1 C m 1 n 1 C m 1 n C m (D) n C m _1. The value of x, for which the 6 th x1 log term in the expansion of (1/ 5) x1 log 1 4 (D) 1 7 is 84 is equal to. The coefficient of a 8 b 4 c 9 d 9 in the expansion of (abc abd acd bcd) 10 is 10! 10! 50 (D) None of these 8!4!9!9! 0 sin 4. The greatest value of the term independent of x, as varies over R, in the expansion of xcos x is 10 0 C 10 0 C 15 0 C 19 (D) 0 1 C The number of rational terms in the expansion of is. 1 (D) 4 x 6. If x > 0 and the middle term in the expansion of is 110, then x = 1 (D) 4 7. The remainder when 01 is divisible by 80 is.. 1 (D) 4 8. Coefficient of x 4 in the expansion of (1 x x x x 4 ) is (D) none of these 9. Coefficient of x 49 in the expansion of (x 1)(x )(x 5)... (x 99) is 49 C 1 99 C (D) none of these 8

4 0. Coefficient of x 5 in the expansion of (x x ) 5 is (D) none of these 1. In electrostatic equilibrium condition there is no motion of charge carriers inside the conducting material. there is no net motion of charge carriers inside the conducting material. there is motion of charge carries inside the conducting material. (D) None of these. On an isolated conductor of nonuniform curvature, the charge. has the greatest concentration on the part of greatest radius of curvature. has the greatest concentration on the parts of least radius of curvature. is distributed uniformly on the whole surface. (D) is distributed uniformly over its volume. The net charge given to an isolated conducting solid sphere. must be distributed uniformly on the surface may be distributed uniformly on the surface must be distributed uniformly in the volume (D) may be distributed uniformly in the volume. 4. A conducting sphere of radius r has a charge. Then The charge is uniformly distributed over its surface if there is an external electric field. Distribution of charge over its surface will be non uniform if no external electric field exist in space. Electric field strength inside the sphere will be equal to zero only when no external electric field exits (D) Potential at every point of the sphere must be same. 5. Statement :1 Electric field on the surface of conductor is more at the sharp comers. Statement : Surface charge density on conductor s surface is inversely proportional to radius of curvature. Statement 1 is true, statement is true, Statement is a correct explanation for statement -1. Statement 1 is true, statement is true, Statement is not a correct explanation for Statement -1. Statement 1 is true, Statement is false (D) Statement 1 is False, Statement is True. 6. The electric field intensity in the vicinity of conductor surface is depending Only on surface charge density of conductor. Only of surrounding charge densities. The value of E depends on all the charges of the system under consideration and on surface charge density of conductor. (D) Depending on the situation a or b. 7. Statement :1 E in outside vicinity of conductor is depending only on local charged density. Statement : E in outside vicinity of conductor is given by 0 Statement 1 is true, statement is true, Statement is a correct explanation for statement -1. Statement 1 is true, statement is true, Statement is not a correct explanation for Statement -1. Statement 1 is true, Statement is false (D) Statement 1 is False, Statement is True. 8. A point charge q is placed in an empty space, now the point charge is surrounding by a conducting shell by insulated means. Due to this act, the effect that you will observe in the field lines of the charge is/are. No change Absence of field lines within the conducting material Electric field lines won t be there inside the empty space of conducting shell (D) There are no field lines inside the conducting material and outside the conducting shell.

5 9. Positive charge Q is placed on a conducting spherical shell with inner radius R 1 & outer radius R. A point charge q is placed inside the shell (not at centre), the E at any point outside the shell at a distance r from its centre would be Q Q q Q q (D) can t be determined 4 r 4 R 4 r A cavity is taken out from a uniform conducting sphere inside the cavity a dipole is placed as shown in the figure. Potential at point P is 0 qlcos 4 d 0 Zero Insufficient information (D) none 41. Three charges of qq and q are placed at the corners A,B anc C of an equilateral triangle of side a as shown in the adjoining figure. Then the dipole moment of this combination is qa zero qa (D) qa q A a a B C q a q 4. An electric dipole is placed along the x axis at the origin O. A point P is at a distance of 0 cm from this origin such that OP makes an angle with the x axis. If the electric field at P makes an angle with x axis, the value of would be tan 1 (D) tan 1 4. An electric dipole is placed at the origin O and is directed along the x axis. At a point P, far away from the dipole, the electric field is parallel to y axis. OP makes an angle with the x axis then 0 1 tan tan 45 (D) tan 44. Three identical dipoles are arranged as shown in the figure. What will be the net 1 electric field at Pk? 40 k.p x kp x kp Zero (D) x Q Q x Q Q P x x Q Q 45. Two electric dipoles of moment P and 64 P are placed in opposite direction on a line at a distance of 5 cm. The electric field will be zero at point between the dipoles whose distance from the dipole of moment P is. 5 cm 5 4 cm 10 cm (D) cm 9 1

6 46. Two point charges Q and the ( Q) are fixed on the X axis at positions a and a from origin respectively. At what positions on the axis, the resultant electric field is zero Only x a Only x a a Both x a (D) x only. 47. An electric dipole is kept on the axis of a uniformly charged ring at distance from the centre of the ring. The direction of the dipole moment is along the axis. The dipole moment is P, charge of the ring is Q and radius of the ring is R. The force on the dipole is 4kPQ 4kPQ kpq (D) zero R R R 48. Two short dipoles pk ˆ and P ˆk are located at (0,0,0) and (1m,0,m) respectively. The resultant electric field due to the two dipoles at the point point (1m,0,0) is 9P 7P 7P ˆk ˆk ˆk (D) None of these Total electric force on an electric dipole placed in an electric field of a point charge is always zero never zero zero when mid point of dipole coincides with the point charge (D) zero when dipole axis is along any electric line of force 50. The locus of the points (in the xy plane) where the electric field due to a dipole (dipole axis is along x axis and its equatorial is along y axis) is perpendicular to its axis is straight line perpendicular to the axis circle parabola 1 (D) straight line having inclination tan with the axis 51. Gauss law in electrostatics is true, when the charges enclosed in the Gaussian surface are stationary only moving only moving or stationary (D) none of the above 0 5. When an electric dipole p is placed in a uniform electric field E then at what angle between p and E, the value of torque will be maximum? 90 o 0 o 180 o (D) 45 o 5. In which of the following states is the potential energy of an electric dipole maximum q q q q -q q q q -q -q E EE E EE q -q q (D) (D) 54. An electric dipole consisting of two opposite charges of 10 6 coulomb, each separated by a distance of cm, is placed in an electric field of 10 5 newton per coulomb. The maximum torque on the dipole will be N-m 1 10 N-m N-m (D) 4 10 N-m 55. A metallic solid sphere is placed in a uniform electric field. The lines of force follow the path (s): 1 (D) 4

7 56. For the isolated charged conductor shown in figure, the potentials at points A, B, C and D are V A, V B, V C and V D respectively. Then V A = V B > V C > V D V D > V C > V B = V A V D > V C > V B > V A (D) V D = V C = V B = V A D A C B 57. Consider equal and oppositely charged large parallel plates, with charge density. A small charge q 0 is moved along the rectangular path ABCDA where side AB = x and side BC = y. Then the correct statement(s) is (are) work done by electric field along path AB is positive and equal to q 0 x/ 0 work done by electric field along path BC is zero work done by electric field along the path ABCDA is zero (D) all of the above D A C B 58. A conducting sphere of radius 10 cm is charged with 10C. Another uncharged sphere of radius 0 cm is allowed to touch it for some time. After that if the spheres are separated then the surface density of charges on the spheres will be in the ratio of 1 : 4 1 : 1 : (D) 1 : A spherical charged conductor has surface charge density. The electric field on its surface is E and electric potential of conductor is V. Now the radius of the sphere is halved keeping the charge to be constant. The new values of electric field and potential would be E, V 4E, V 4E, 4V (D) E, 4V 60. The electric flux entering and leaving an enclosed surface is 1 and respectively, the electric charge inside the enclosed surface will be ( 1 ) 0 ( - 1 ) 0 ( 1 )/ 0 (D) ( - 1 )/ PCl 5 exists but NCl 5 does not because : Nitrogen has no vacant d orbitals N is inert NCl 5 is unsatable (D) None of these 6. In P 4 O 6 the number of oxygen atoms bonded to each P atom is : 1.5 (D) 4 6. The P P P bond angle in white phosphorus is : (D) Which of the following metal liberates H gas with dil HNO. Fe Zn Mg (D) Na 65. Which of the following gives white ppt. with AgNO solution. C H 5 Cl CHCl C 6 H 5 N Cl (D) CCl air CH5OH CHCl A HCl A B : Then B is CH 5 CO CHCOCl 5 CH 5 O CH 5 (D) CHCl 67. When ammonia is passed over heated CuO, it is oxidised to? HNO NO N (D) NO 68. Passing H S gas through nitric acid produces rhombic sulphur colloidal sulphur amorphous sulphur (D) plastic sulphur 69. Which of the following cpmpound on strong heating evolves ammonia gas? NH Cr O NH4NO NH NO (D) NH SO 4 4

70. Which of the following halides can not be hydrolysed NCl NF PCl (D) BiCl 71. A diatomic gas belonging to group 15 combines with a halogen to form a trihalide which is fairly stable and inert.

Pick out the wrong statement regarding white phosphorus It is more reactive than red phosphorus It is insoluble in carbon disulphide It exhibits phosphorescence (D) It is toxic to living being 74.

8 70. Which of the following halides can not be hydrolysed NCl NF PCl (D) BiCl 71. A diatomic gas belonging to group 15 combines with a halogen to form a trihalide which is fairly stable and inert. The trihalide is NCl PCl BiF (D) NF 7. Which of the following oxide is least acidic? PO 4 6 PO 4 10 AsO 6 (D) As4O Pick out the wrong statement regarding white phosphorus It is more reactive than red phosphorus It is insoluble in carbon disulphide It exhibits phosphorescence (D) It is toxic to living being 74. ABHOC D A HNO, B HSO, C NHOHThen D is SO SO HSO 4 (D) HNO 75. The hybridization/s of N in solid NO 5 is/are sp, sp SP,SP sp, SP D (D) 76. Which of the following statement is not correct about the hydrides of group 15 elements? The hydrides of the elements of group 15 are ionic and have planar structure (B The thermal stability of the hydrides decreases down the group The basic character of the hydrides decreases down the group (D) The reducing nature of the hydrides increases down the group 77. tbutyl alcohol on treatment with phenyl magnesium bromide gives tbutyl benzene benzene tbutyl phenyl ether (D) phenol 78. In the given reaction PhMgBr D O (X) ; (X) will be : sp OH OD (D) D 79. (D)

9 80. Find out the structure of A : CH (D) 81. OH O ( i) PBr (ii) Mg ether O. is H OH O OH (D) OH OH 8. In the following sequence of reactions, PI Mg HCHO HO CHCHOH A B C D the compound D is : Ether propanal butanal n butyl alcohol (D) n propyl alcohol 8. Which of the following reactions yield primary alcohol? CH CHO CH MgX CH OH PCC CH Cl CH C(CH ) = CH (D ) BH 6 /THF HO /OH CH CH CH Cl Alc. KOH 84. CHCl HNO conc ' A ' Correct statement about compound A. It contains one chiral carbon A is chloratone A is chloropicrin (D) It is used as solid fuel 85. CHCl Acetone A. then incorrect statement about A is A is chloratone A is used as hyphotic drug CH C OH CCl A is used as war gas (D) A is 86. Br Mg Ether F F Br MgF F MgBr (D) Br

10 87. H C CH CH CHMgBr O H C H C H O OH OH (D) OH 88. Compound (P) is : (D) 89. Find out the value of X : (consumed) 6 4 (D) 90. (D) Space for rough work

11 MATHEMATICS FIITJEE PET II (REG_ ND YEAR) MAINS_SET A_ANSWERS DATE: A. A. A 4. A 5. C 6. C 7. D 8. A 9. A 10. B 11. D 1. D 1. C 14. D 15. A 16. B 17. A 18. D 19. D 0. A 1. A. D. C 4. D 5. C 6. B 7. C 8. A 9. C 0. C PHYSICS 1. B. B. A 4. D 5. A 6. C 7. D 8. B 9. C 40. B 41. C 4. B 4. B 44. C 45. A 46. B 47. D 48. B 49. B 50. D 51. C 5. A 5. A 54. B 55. D 56. D 57. D 58. C 59. B 60. B CHEMISTRY 61. A 6. D 6. B 64. C 65. C 66. A 67. C 68. B 69. D 70. B 71. D 7. C 7. B 74. C 75. B 76. A 77. B 78. D 79. B 80. C 81. C 8. D 8. C 84. B 85. C 86. C 87. D 88. C 89. A 90. C

12 MATHEMATICS FIITJEE PET II (REG_ ND YEAR) MAINS_SET B_ANSWERS DATE: D. D. C 4. D 5. A 6. B 7. A 8. D 9. D 10. A 11. A 1. D 1. C 14. D 15. C 16. B 17. C 18. A 19. C 0. C 1. A. A. A 4. A 5. C 6. C 7. D 8. A 9. A 0. B PHYSICS 1. C. B. B 4. C 5. A 6. B 7. D 8. B 9. B 40. D 41. C 4. A 4. A 44. B 45. D 46. D 47. D 48. C 49. B 50. B 51. B 5. B 5. A 54. D 55. A 56. C 57. D 58. B 59. C 60. B CHEMISTRY 61. D 6. C 6. B 64. C 65. B 66. A 67. B 68. D 69. B 70. C 71. C 7. D 7. C 74. B 75. C 76. C 77. D 78. C 79. A 80. C 81. A 8. D 8. B 84. C 85. C 86. A 87. C 88. B 89. D 90. B

FIITJEE PET I (REG_2 ND YEAR)

FIITJEE PET I (REG_2 ND YEAR) FIITJEE PET I (REG_ ND YEAR) MAINS_SET A DATE: 09.06.018 Time: 3 hours Maximum Marks: 360 INSTRUCTINS: Instructions to the Candidates 1. This Test Booklet consists of 90 questions. Use Blue/Black ball